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Global Unsolvability of the Burgers Equation with Fractional Time Derivative

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We obtain sufficient conditions for the nonexistence of time-global solutions of a fractional analog of the Burgers equation. Examples of solution blowup are considered for the Cauchy problem. The Mitidieri-Pokhozhaev… Click to show full abstract

We obtain sufficient conditions for the nonexistence of time-global solutions of a fractional analog of the Burgers equation. Examples of solution blowup are considered for the Cauchy problem. The Mitidieri-Pokhozhaev nonlinear capacity method is used.

Keywords: time; burgers equation; equation fractional; unsolvability burgers; global unsolvability; fractional time

Journal Title: Differential Equations
Year Published: 2019

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